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https://hdl.handle.net/20.500.11851/1687| Title: | Closed Form Evaluation of Melham's Reciprocal Sums | Authors: | Kılıç, Emrah Prodinger, Helmut |
Keywords: | reciprocal sums identities partial fraction decomposition |
Publisher: | Univ Miskolc Inst Math | Source: | Kilic, E., & Prodinger, H. (2017). Closed form evaluation of Melham's reciprocal sums. Miskolc Mathematical Notes, 18(1), 251-264. | Abstract: | Recently Melham [1] gives closed formul ae for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straight-forward and simple. First we convert the sums in q-notation, then use partial fraction decomposition and telescoping to derive closed formul ae. | URI: | http://mat76.mat.uni-miskolc.hu/mnotes/article/1284 https://hdl.handle.net/20.500.11851/1687 |
ISSN: | 1787-2405 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Closed forms.pdf | 981.41 kB | Adobe PDF |  View/Open |
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